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Exponents & Roots

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by vishwas.arora » Sun Aug 14, 2011 12:35 am
If m and n are integers, then what is the value of (-1)^m + (-1)^n + (-1)^m x (-1)^n ?

(1) m = 23522101
(2) n = 63522251

OA after discussion.

Thanks
Jai Hind !
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Source: — Data Sufficiency |

by Frankenstein » Sun Aug 14, 2011 12:42 am
Hi,
(-1)^m + (-1)^n + (-1)^(m+n) = [1+(-1)^m]*[1+(-1)^n] - 1
From(1):
m is odd. So, 1+ (-1)^m = 0.
So, the value is 0 -1 =-1
From(2):
n is odd. So, 1+ (-1)^n = 0.
So, the value is 0 -1 =-1

Hence, D
Cheers!

Things are not what they appear to be... nor are they otherwise
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by GmatKiss » Sun Aug 14, 2011 12:52 pm
IMO:D

Most simplest DS question :) at least for me B-)
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by AN24 » Thu Aug 18, 2011 12:02 pm
D

I understand y u chose this ques. Overconfidence Kills. :)
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